| Title: | Interlayer and intralayer synchronization in multiplex fractional-order neuronal networks |
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| Authors: | ID Yan, Bo (Author)
ID Parastesh, Fatemeh (Author)
ID He, Shaobo (Author)
ID Rajagopal, Karthikeyan (Author)
ID Jafari, Sajad (Author)
ID Perc, Matjaž (Author) |
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| Files: |  RAZ_Yan_Bo_2022.pdf (1,43 MB)
MD5: 67E2C750EB04F9E9DDFF8704AE844077
 https://doi.org/10.1142/S0218348X22401946
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| Language: | English |
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| Work type: | Scientific work |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FNM - Faculty of Natural Sciences and Mathematics
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| Abstract: | Fractional-order models describing neuronal dynamics often exhibit better compatibility with diverse neuronal firing patterns that can be observed experimentally. Due to the overarching significance of synchronization in neuronal dynamics, we here study synchronization in multiplex neuronal networks that are composed of fractional-order Hindmarsh-Rose neurons. We compute the average synchronization error numerically for different derivative orders in dependence on the strength of the links within and between network layers. We find that, in general, fractional-order models synchronize better than integer-order models. In particular, we show that the required interlayer and intralayer coupling strengths for interlayer or intralayer synchronization can be weaker if we reduce the derivative order of the model describing the neuronal dynamics. Furthermore, the dependence of the interlayer or intralayer synchronization on the intralayer or interlayer coupling strength vanishes with decreasing derivative order. To support these results analytically, we use the master stability function approach for the considered multiplex fractional-order neuronal networks, by means of which we obtain sufficient conditions for the interlayer and intralayer synchronizations that are in agreement with numerical results. |
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| Keywords: | synchronization, neuronal network, multilayer network, neuronal dynamics |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 12.12.2021 |
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| Article acceptance date: | 21.03.2022 |
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| Publication date: | 19.10.2022 |
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| Year of publishing: | 2022 |
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| Number of pages: | 11 str. |
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| Numbering: | Letn. 30, št. 10, št. članka 2240194 |
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| PID: | 20.500.12556/DKUM-88775  |
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| UDC: | 53 |
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| ISSN on article: | 0218-348X |
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| COBISS.SI-ID: | 127231235 |
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| DOI: | 10.1142/S0218348X22401946 |
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| Publication date in DKUM: | 28.05.2024 |
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| Views: | 362 |
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| Downloads: | 15 |
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| Metadata: |    |
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| Categories: | Misc.
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